1365112560 has 400 divisors, whose sum is σ = 5201524224. Its totient is φ = 295561728.

The previous prime is 1365112549. The next prime is 1365112571. The reversal of 1365112560 is 652115631.

It is an interprime number because it is at equal distance from previous prime (1365112549) and next prime (1365112571).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13253469 + ... + 13253571.

Almost surely, 2^1365112560 is an apocalyptic number.

1365112560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600762112).

1365112560 is an abundant number, since it is smaller than the sum of its proper divisors (3836411664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1365112560 is a wasteful number, since it uses less digits than its factorization.

1365112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1365112560 is about 36947.4296805610. The cubic root of 1365112560 is about 1109.3182405504.

The spelling of 1365112560 in words is "one billion, three hundred sixty-five million, one hundred twelve thousand, five hundred sixty".